618737117040 has 1280 divisors, whose sum is σ = 2611337625600. Its totient is φ = 133327918080.

The previous prime is 618737117029. The next prime is 618737117099. The reversal of 618737117040 is 40711737816.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1632551571 + ... + 1632551949.

It is an arithmetic number, because the mean of its divisors is an integer number (2040107520).

Almost surely, 2^618737117040 is an apocalyptic number.

618737117040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 618737117040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1305668812800).

618737117040 is an abundant number, since it is smaller than the sum of its proper divisors (1992600508560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

618737117040 is a wasteful number, since it uses less digits than its factorization.

618737117040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 45.

The spelling of 618737117040 in words is "six hundred eighteen billion, seven hundred thirty-seven million, one hundred seventeen thousand, forty".